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Show the Proof

In [1]:
import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof
Out[1]:
 step typerequirementsstatement
0instantiation1, 2, 3  ⊢  
  : , : , :
1reference18  ⊢  
2instantiation25, 4  ⊢  
  : , : , :
3instantiation5, 6, 7, 37, 8, 9, 14, 10, 11, 12*  ⊢  
  : , : , : , : , : , :
4instantiation13, 14  ⊢  
  :
5theorem  ⊢  
 proveit.numbers.addition.association
6axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
7theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
8theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9instantiation15  ⊢  
  : , :
10instantiation35, 21, 16  ⊢  
  : , : , :
11instantiation35, 21, 17  ⊢  
  : , : , :
12instantiation18, 19, 20  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
14instantiation35, 21, 22  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16instantiation35, 27, 23  ⊢  
  : , : , :
17instantiation35, 27, 24  ⊢  
  : , : , :
18axiom  ⊢  
 proveit.logic.equality.equals_transitivity
19instantiation25, 26  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.numerals.decimals.add_5_3
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
22instantiation35, 27, 28  ⊢  
  : , : , :
23instantiation35, 31, 29  ⊢  
  : , : , :
24instantiation35, 31, 30  ⊢  
  : , : , :
25axiom  ⊢  
 proveit.logic.equality.substitution
26theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_4
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
28instantiation35, 31, 32  ⊢  
  : , : , :
29instantiation35, 36, 33  ⊢  
  : , : , :
30instantiation35, 36, 34  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation35, 36, 37  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements